Fabri, Honoré, Tractatus physicus de motu locali, 1646

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          <chap id="N1C940">
            <pb pagenum="227" xlink:href="026/01/259.jpg"/>
            <p id="N1E71B" type="main">
              <s id="N1E71D">Sed ne hoc fortè excidat ſi Globus CGLH deſcendat ex A ad cen­
                <lb/>
              trum mundi ſeu grauium E, quæri poteſt vtrum omnes partes mouean­
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              tur ſua ſponte verſus L etiam illæ quæ vltra centrum E proceſſerunt, ſeu
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              quod idem eſt, vtrum globus CGLH, cuius centrum E eſt coniun­
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              ctum cum centro grauium E tranſlatus in IFKB eiuſdem ſit ponderis,
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              cuius eſſet in A. v.g. Reſp. primò globum prædictum, cuius centrum eſt in E, nullius eſſe
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              ponderis, vt conſtat; nec enim potiùs in vnam partem, quàm in aliam
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              inclinat. </s>
            </p>
            <p id="N1E731" type="main">
              <s id="N1E733">Reſpondeo ſecundò globum
                <expan abbr="eũdem">eundem</expan>
              , cuius centrum eſt D ex­
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              tra centrum grauium E grauitare, quia inclinat verſus E.R eſpondeo ter­
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              tiò non æqualiter grauitare, ſiue ſit in D, ſiue ſit in A; </s>
              <s id="N1E73F">quia grauitat per
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              ſuam entitatem quatenus coniuncta eſt cum inclinatione; </s>
              <s id="N1E745">ſed non eſt ea­
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              dem entitas in A quæ in D cum eadem inclinatione, igitur nec eadem
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              grauitas; </s>
              <s id="N1E74D">non enim grauitat inde ſecundum totam ſuam entitatem;
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              quia ſcilicet ſectio MFNE non poteſt ampliùs grauitare infrà E, quan­
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              doquidem E eſt locus infimus. </s>
            </p>
            <p id="N1E755" type="main">
              <s id="N1E757">Dices grauitare grauitatione communi. </s>
              <s id="N1E75A">Reſpondeo ad extra conce­
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              do, ſcilicet ad producendum impetum in corpore quod impedit motum,
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              ſecus verò grauitatione intrinſecâ; vnde ſi ſuſtineretur globus in F non
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              ſuſtineretur totus, ſed fortè detraheretur de toto pondere, primò ſectio
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              MFNE, quæ non grauitat verſus F & altera æqualis quæ ab ea ſuſtine­
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              retur. </s>
              <s id="N1E768">v.g. ſi ſectio OCPD immediatè incumberet ſectioni MFNE,
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              ita vt corda OP iungeretur cordæ MN; </s>
              <s id="N1E770">certè vtraque conſiſteret; dixi
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              fortè, quia non eſt ita certum, vt videbimus alias. </s>
              <s id="N1E776">Dices igitur ſi globus
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              ille eſſet in centro, minima vi adhibita amoueretur; </s>
              <s id="N1E77C">igitur idem timen­
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              dum eſſet de toto terreſtri globo; </s>
              <s id="N1E782">ſed noli timere quæſo tàm facilè terræ
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              motum; </s>
              <s id="N1E788">immò ſi globus ille ſemel occuparet centrum E., cum non tan­
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              tum hemiſpherium GLH contra nitatur GCH; </s>
              <s id="N1E78E">verùm etiam CGL,
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              CHL, & infinita alia; </s>
              <s id="N1E794">certè vt moueatur vbi ſemel centrum E occupat,
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              debent tot ferè produci gradus impetus, quot produci deberent vt mo­
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              ueretur extra centrum, vt probabimus cum de grauitate ſcilicet in tra­
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              ctatu ſequenti phyſicæ ſingulari: Interim dicendum eſt ſingulas partes
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              huius globi ſeorſim grauitare, cum centrum occupat, excepto illo puncto
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              quod in centro eſt. </s>
            </p>
            <p id="N1E7A2" type="main">
              <s id="N1E7A4">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              85.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1E7B0" type="main">
              <s id="N1E7B2">
                <emph type="italics"/>
              Poteſt, corpus graue deſcendere ad centrum terræ per planum conuexum
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              quadrantis,
                <emph.end type="italics"/>
              ſit enim globus terræ GBCK, centrum A; deſcribatur ex
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              K ſemidiametro KA quadrans KLA. </s>
              <s id="N1E7BF">Dico quòd corpus graue deſcen­
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              det per conuexum arcum LVA, non tamen per concauum. </s>
              <s id="N1E7C4">Probatur
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              prima pars, quia à puncto L per arcum LVA ſemper accedit propiùs ad
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              centrum A; </s>
              <s id="N1E7CC">igitur per illam deſcendet, quia nulla eſt alia linea minor
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              dextrorſum; </s>
              <s id="N1E7D2">ſi enim eſſet aliqua, eſſet LCA; </s>
              <s id="N1E7D6">quia poſſunt tantùm duci
                <lb/>
              duæ illæ rectæ breuiſſimæ, quæ terminentur ad puncta LC vt patet; </s>
              <s id="N1E7DC">ſed
                <lb/>
              LCA eſt maior arcu LVA: </s>
              <s id="N1E7E2">Probatur ſecunda pars, quia ab L in A in-</s>
            </p>
          </chap>
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